Multi-criteria group decision making method based on intuitionistic linguistic aggregation operators

Abstract

For multi-criteria group decision making problems with intuitionistic linguistic information, we define a new score function and a new accuracy function of intuitionistic linguistic numbers, and propose a simple approach for the comparison between two intuitionistic linguistic numbers. Based on the intuitionistic linguistic weighted arithmetic averaging (ILWAA) operator, we define two new intuitionistic linguistic aggregation operators, such as the intuitionistic linguistic ordered weighted averaging (ILOWA) operator and the intuitionistic linguistic hybrid aggregation (ILHA) operator, and establish various properties of these operators. The ILOWA operator weights the ordered positions of the intuitionistic linguistic numbers instead of weighting the arguments themselves. The ILHA operator generalizes both the ILWAA operator and the ILOWA operator at the same time, and reflects the importance degrees of both the given intuitionistic linguistic numbers and the ordered positions of these arguments. Furthermore, based on the ILHA operator and the ILWAA operator, we develop a multi-criteria group decision making approach, in which the criteria values are intuitionistic linguistic numbers and the criteria weight information is known completely. Finally, an example is given to illustrate the feasibility and effectiveness of the developed method.Keywords: Multi-criteria group decision making, intuitionistic linguistic number, intuitionistic linguistic ordered weighted averaging (ILOWA) operator, intuitionistic linguistic hybrid aggregation (ILHA) operator

Multi‐attribute group decision‐making methods based on q‐rung orthopair fuzzy linguistic sets

“…As practical problems are getting more and more complex and the linguistic evaluation information may be vague and imprecise, some DMs may not have richer knowledge and experience about the preference degree of decision-making alternative. Wang and Li 23 presented intuitionistic fuzzy linguistic (IFL) set. Liu et al 24 developed some IFL operators to cope with MAGDM problems.…”

A Novel Method for Multiattribute Decision Making with Interval-Valued Pythagorean Fuzzy Linguistic Information

“…The linguistic terms have been studied by a lot of scholars [27][28][29][30] in MADM. Wang and Li 31 proposed the concept of intuitionistic linguistic set and intuitionistic linguistic numbers. Liu 32 presented interval-valued intuitionistic uncertain linguistic variable.…”

Decision making with intuitionistic linguistic preference relations

“…In such cases, it might be more suitable to express his/her preferences for objects with a certain degree. To address these situations, intuitionistic linguistic variables (ILVs; see Wang and Li, 2009) might be a good choice, which are expressed by a linguistic term, membership degree, and nonmembership degree. In this paper, we pay our attention to decision making with intuitionistic linguistic preference relations (ILPRs).…”

“…However, their underlying means are different. In this paper, the elements of ILPRs are ILVs, which are defined by a linguistic variable with a membership degree and a nonmembership degree (Wang and Li, 2009), while the elements of ILPRs in Zhang et al (2012) are defined by a linguistic membership function and a linguistic nonmembership function, which cannot reflect the decision maker's quantitative preferences. Meanwhile, one can check that the satisfied conditions of the elements of these two kinds of ILPRs are different.…”